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Chapter 14: Q. 43 (page 883)

In Problems 43鈥�52, find the limit as x approaches c of the average rate of change of each function from c to x.

c=2;f(x)=5x-3.

Short Answer

Expert verified

The answer is 5.

Step by step solution

01

Step. 1 Given Information

c=2;f(x)=5x-3.

02

Step. 2 Average rate of change of f.  

The average rate of change of f from 2 to x is

鈭�y鈭�x=f(x)-f(2)x-2=(5x-3)-7x-2=5x-10x-2=5(x-2)(x-2)=5.

03

Step. 3 Finding limit  

The limit of the average rate of change is

limx鈫�2鈭�y鈭�x=limx鈫�2(5)=5.

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